
Science
 Math in Science
 Scientific Method
 Lab Safety

Atoms and Molecules
 History of the Atom
 Models for the Atom
 Subatomic Particles
 Periodic Table
 Periodic Trends
 Bonding
 Polyatomic Ions

Reactions
 Physical and Chemical Changes
 Reaction Types
 Stoichiometry
 Combustion

Acids/Bases
 Theory
 Equilibria
 Titration

Solutions

Redox
 Oxidation States
 HalfReactions
 Redox Stoichiometry
 Electric Potential
 Gases

Thermochemistry

Quantum Theory

Nuclear
 Nuclear Particles
 Nuclear Reactions
 Power and Energy

Organic
 Nomenclature
 Alkanes
 Alkenes
 Alkynes

Resource Paks
 Periodic Table
Guest is currently logged in.
Scientific Notation
Science  Math in Science 
Scientific notation is the universal way of writing very large or very small numbers in a more simple, compact form. Scientific notation utilizes powers of ten to simplify numbers. For example, 7,500,000,000 is written as 7.5x10^{9}. Another example: 0.00000000005 is written as 5x10^{11}. An easy way to determine the exponent is to count the number of times the decimal must be moved to give you a stem number between one and ten. If the decimal is moved to the left the exponent is positive, and if it is moved to the right the exponent is negative. The image below shows how to move the decimal and keep track of your exponent for the two examples above.
Concept Definition
Study the primary definition of this concept, broken into general, basic, and advanced English definitions. Also see the mathematical definition and any requisite background information, such as conditions or previous definitions.
Basic
A simplified way of writing very large or very small numbers. Small numbers are usually between 0 and 1 or 0 and 1 and include many zeros after the decimal point. An example of a small number is 0.0000058 (5.8*10^{6}).
Advanced
A simplified expression for a large number or small using powers of ten. Small numbers have negative exponents while large numbers have positive exponents.
Mathematical Definition
a·10^{b}
a is the stem. The stem is always between 1 and 10.
10 is always the base.
b is the exponent and is negative for small numbers and positive for large numbers.
Vocabulary
Learn important vocabulary for this concept, including words that might appear in assessments (tests, quizzes, homework, etc.) that indicate the use of this concept.
Term  Context 
Comments (0)